Learning-based Quantum Robust Control: Algorithm, Applications and Experiments

Abstract

Robust control design for quantum systems has been recognized as a key task in quantum information technology, molecular chemistry and atomic physics. In this paper, an improved differential evolution algorithm, referred to as \emph{msMS}\_DE, is proposed to search robust fields for various quantum control problems. In \emph{msMS}\_DE, multiple samples are used for fitness evaluation and a mixed strategy is employed for the mutation operation. In particular, the \emph{msMS}\_DE algorithm is applied to the control problems of (i) open inhomogeneous quantum ensembles and (ii) the consensus goal of a quantum network with uncertainties. Numerical results are presented to demonstrate the excellent performance of the improved machine learning algorithm for these two classes of quantum robust control problems. Furthermore, \emph{msMS}\_DE is experimentally implemented on femtosecond laser control applications to optimize two-photon absorption and control fragmentation of the molecule ${\text{CH}}_2\text{BrI}$. Experimental results demonstrate excellent performance of \emph{msMS}\_DE in searching for effective femtosecond laser pulses for various tasks.

13 pages, 10 figures and 1 table

References in corpus (9)

• Superconducting Circuits and Quantum Information
• High-Fidelity Single-Shot Toffoli Gate via Quantum Control
• Learning Robust and High-Precision Quantum Controls
• Learning in Quantum Control: High-Dimensional Global Optimization for Noisy Quantum Dynamics
• A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis
• Robust Learning Control Design for Quantum Unitary Transformations
• Learning robust control for generating universal quantum gates
• Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks
• Quantum gate identification: error analysis, numerical results and optical experiment

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